The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions

DOI10.1016/J.AML.2008.03.028zbMath1166.65052OpenAlexW2102661897MaRDI QIDQ1003866

Matthias K. Gobbert, Shiming Yang

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.028

zbMATH Keywords

finite difference methodnumerical examplessparse linear systemsPoisson equationsuccessive overrelaxation (SOR) methodoptimal relaxation parameter

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems ⋮ Adaptive Relaxation Strategy on Basic Iterative Methods for Solving Linear Systems with Single and Multiple Right-Hand Sides ⋮ Parallel domain decomposition method with non-blocking communication for flow through porous media ⋮ The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions

Cites Work

• The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions
• A First Course in the Numerical Analysis of Differential Equations
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